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If n is ann integer greater than 1, then...

If n is ann integer greater than 1, then
`a-^(n)C_(1)(a-1)+.^(n)C_(2)(a-2)- . . .+(-1)^(n)(a-n)=`

A

a

B

0

C

`a^(2)`

D

`2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
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  3. The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...

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  12. The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...

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  13. If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...

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  14. If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...

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  15. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

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  18. If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...

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  19. Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...

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  20. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

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